Given numbers are 705,677,357,618

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 705,677,357,618 is 11700164490.

Find LCM of 705,677,357,618 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 235 x 677 x 119 x 206 = 11700164490

Therefore, the lowest common multiple of 705,677,357,618 is 11700164490.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

705 x 677 x 357 x 618 = 105301480410

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

705 : 1, 3, 5, 15, 47, 141, 235, 705

677 : 1, 677

357 : 1, 3, 7, 17, 21, 51, 119, 357

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,677,357,618, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

677:677

357:3x 7x 17

618:2x 3x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 105301480410/(1x9)

LCM = 105301480410/9

LCM = 11700164490

Thus, we can understand that the LCM of 705,677,357,618 is 11700164490.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 894, 342, 140, 495
• LCM of 108, 569, 401, 740
• LCM of 109, 686, 341, 909
• LCM of 172, 951, 852, 401
• LCM of 559, 317, 318, 531

1. What is the LCM of 705, 677, 357, 618?

Answer: LCM of 705, 677, 357, 618 is 11700164490.

2. How to calculate the LCM of 705, 677, 357, 618?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 705, 677, 357, 618.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.